Pith Number

pith:GI52CZ3Y

pith:2011:GI52CZ3YD4EIBLP44HLAV6U6FS

not attested not anchored not stored refs pending

The Hermite-Hadamard's inequality for some convex functions via fractional integrals and related results

Erhan Set, H\"useyin Y{\i}ld{\i}r{\i}m, M. Emin \"Ozdemir, M. Zeki Sarikaya

arxiv:1112.6176 v1 · 2011-12-28 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GI52CZ3YD4EIBLP44HLAV6U6FS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:05:36.582866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

323ba167781f0880adfce1d60afa9e2c8a768b17eb972aa42cf6d31a55a4d32d

Aliases

arxiv: 1112.6176 · arxiv_version: 1112.6176v1 · doi: 10.48550/arxiv.1112.6176 · pith_short_12: GI52CZ3YD4EI · pith_short_16: GI52CZ3YD4EIBLP4 · pith_short_8: GI52CZ3Y

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GI52CZ3YD4EIBLP44HLAV6U6FS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 323ba167781f0880adfce1d60afa9e2c8a768b17eb972aa42cf6d31a55a4d32d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d51b1ad220a26c13bfc0fa9096d990f769118d7be15d1e910dee3c90b50375a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-28T20:28:17Z",
    "title_canon_sha256": "7700cb026321944b8461007e9019d971c88c48babbcb965e24db7e2ac2bae958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6176",
    "kind": "arxiv",
    "version": 1
  }
}